TSTP Solution File: ALG062+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG062+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:27 EDT 2022
% Result : Theorem 2.13s 0.65s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 191
% Syntax : Number of formulae : 393 ( 52 unt; 0 def)
% Number of atoms : 2767 (2066 equ)
% Maximal formula atoms : 400 ( 7 avg)
% Number of connectives : 3849 (1475 ~;1053 |;1271 &)
% ( 50 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 182 ( 180 usr; 181 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3561,plain,
$false,
inference(avatar_sat_refutation,[],[f1001,f1093,f1475,f1565,f1674,f1710,f1927,f2063,f2211,f2226,f2266,f2309,f2361,f2412,f2414,f2419,f2420,f2431,f2456,f2507,f2508,f2561,f2564,f2578,f2591,f2625,f2635,f2691,f2725,f2777,f2841,f2842,f2843,f2895,f2924,f2966,f2971,f3072,f3079,f3108,f3176,f3179,f3255,f3276,f3339,f3350,f3386,f3391,f3415,f3470,f3478]) ).
fof(f3478,plain,
( spl135_125
| ~ spl135_5 ),
inference(avatar_split_clause,[],[f3252,f880,f1427]) ).
fof(f1427,plain,
( spl135_125
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_125])]) ).
fof(f880,plain,
( spl135_5
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl135_5])]) ).
fof(f3252,plain,
( e3 = op(e3,e0)
| ~ spl135_5 ),
inference(backward_demodulation,[],[f389,f881]) ).
fof(f881,plain,
( e0 = unit
| ~ spl135_5 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f389,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e2 = op(e2,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e0 = op(unit,e0)
& e4 = op(e4,unit)
& e1 = op(e1,unit)
& e2 = op(unit,e2)
& ( e1 = unit
| e0 = unit
| e2 = unit
| e4 = unit
| e3 = unit )
& e3 = op(unit,e3)
& e0 = op(e0,unit)
& e1 = op(unit,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3470,plain,
( spl135_172
| ~ spl135_5 ),
inference(avatar_split_clause,[],[f3363,f880,f1645]) ).
fof(f1645,plain,
( spl135_172
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_172])]) ).
fof(f3363,plain,
( e3 = op(e0,e3)
| ~ spl135_5 ),
inference(forward_demodulation,[],[f383,f881]) ).
fof(f383,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f3415,plain,
( ~ spl135_183
| ~ spl135_112 ),
inference(avatar_split_clause,[],[f3414,f1364,f1702]) ).
fof(f1702,plain,
( spl135_183
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_183])]) ).
fof(f1364,plain,
( spl135_112
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_112])]) ).
fof(f3414,plain,
( e1 != op(e1,e3)
| ~ spl135_112 ),
inference(forward_demodulation,[],[f290,f1366]) ).
fof(f1366,plain,
( e1 = op(e1,e0)
| ~ spl135_112 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f290,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e2,e1) != op(e2,e4)
& op(e0,e2) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e2,e2) != op(e2,e4)
& op(e0,e1) != op(e2,e1)
& op(e3,e3) != op(e3,e4)
& op(e2,e1) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e3,e3) != op(e4,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e2) != op(e0,e4)
& op(e2,e4) != op(e3,e4)
& op(e4,e1) != op(e4,e2)
& op(e0,e3) != op(e0,e4)
& op(e2,e0) != op(e2,e1)
& op(e0,e0) != op(e0,e1)
& op(e1,e1) != op(e1,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e2)
& op(e3,e0) != op(e3,e3)
& op(e1,e3) != op(e1,e4)
& op(e0,e0) != op(e3,e0)
& op(e4,e0) != op(e4,e3)
& op(e2,e4) != op(e4,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e3) != op(e3,e3)
& op(e0,e0) != op(e2,e0)
& op(e3,e1) != op(e3,e4)
& op(e1,e2) != op(e3,e2)
& op(e2,e1) != op(e2,e2)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e1,e4)
& op(e3,e2) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e4) != op(e2,e4)
& op(e4,e1) != op(e4,e3)
& op(e0,e3) != op(e2,e3)
& op(e1,e0) != op(e1,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e3) != op(e4,e3)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e0,e0) != op(e0,e4)
& op(e1,e2) != op(e1,e3)
& op(e0,e1) != op(e1,e1)
& op(e4,e1) != op(e4,e4)
& op(e1,e2) != op(e1,e4)
& op(e0,e0) != op(e0,e2)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e4,e1)
& op(e2,e0) != op(e3,e0)
& op(e0,e1) != op(e0,e3)
& op(e4,e3) != op(e4,e4)
& op(e0,e3) != op(e1,e3)
& op(e3,e1) != op(e3,e3)
& op(e0,e4) != op(e2,e4)
& op(e0,e2) != op(e3,e2)
& op(e1,e0) != op(e1,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e0) != op(e3,e0)
& op(e4,e2) != op(e4,e3)
& op(e0,e0) != op(e0,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e0,e0) != op(e4,e0)
& op(e0,e4) != op(e1,e4)
& op(e2,e2) != op(e2,e3)
& op(e3,e2) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e0,e4) != op(e4,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e2) != op(e2,e2)
& op(e0,e4) != op(e3,e4)
& op(e2,e0) != op(e2,e3)
& op(e1,e0) != op(e2,e0)
& op(e2,e1) != op(e4,e1)
& op(e1,e0) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e0) != op(e4,e0)
& op(e0,e0) != op(e1,e0)
& op(e3,e0) != op(e3,e2)
& op(e2,e3) != op(e2,e4)
& op(e3,e4) != op(e4,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e1) != op(e4,e1)
& op(e3,e1) != op(e3,e2)
& op(e1,e0) != op(e1,e4)
& op(e4,e0) != op(e4,e2)
& op(e0,e1) != op(e4,e1)
& op(e4,e2) != op(e4,e4)
& op(e0,e1) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e2,e3) != op(e4,e3)
& op(e3,e0) != op(e3,e4)
& op(e0,e2) != op(e2,e2)
& op(e2,e2) != op(e4,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3391,plain,
( ~ spl135_4
| ~ spl135_86 ),
inference(avatar_contradiction_clause,[],[f3390]) ).
fof(f3390,plain,
( $false
| ~ spl135_4
| ~ spl135_86 ),
inference(subsumption_resolution,[],[f3388,f380]) ).
fof(f380,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e0 != e2
& e3 != e4
& e0 != e3
& e2 != e3
& e1 != e3
& e1 != e4
& e0 != e4
& e0 != e1
& e1 != e2
& e2 != e4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f3388,plain,
( e0 = e2
| ~ spl135_4
| ~ spl135_86 ),
inference(backward_demodulation,[],[f1247,f877]) ).
fof(f877,plain,
( e0 = op(e4,e4)
| ~ spl135_4 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f876,plain,
( spl135_4
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_4])]) ).
fof(f1247,plain,
( e2 = op(e4,e4)
| ~ spl135_86 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1245,plain,
( spl135_86
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_86])]) ).
fof(f3386,plain,
( ~ spl135_5
| spl135_112 ),
inference(avatar_contradiction_clause,[],[f3385]) ).
fof(f3385,plain,
( $false
| ~ spl135_5
| spl135_112 ),
inference(subsumption_resolution,[],[f3384,f1365]) ).
fof(f1365,plain,
( e1 != op(e1,e0)
| spl135_112 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f3384,plain,
( e1 = op(e1,e0)
| ~ spl135_5 ),
inference(forward_demodulation,[],[f386,f881]) ).
fof(f386,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3350,plain,
( ~ spl135_115
| ~ spl135_177 ),
inference(avatar_split_clause,[],[f3073,f1671,f1377]) ).
fof(f1377,plain,
( spl135_115
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_115])]) ).
fof(f1671,plain,
( spl135_177
<=> e4 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_177])]) ).
fof(f3073,plain,
( e4 != op(e4,e0)
| ~ spl135_177 ),
inference(forward_demodulation,[],[f279,f1673]) ).
fof(f1673,plain,
( e4 = op(e4,e2)
| ~ spl135_177 ),
inference(avatar_component_clause,[],[f1671]) ).
fof(f279,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3339,plain,
( ~ spl135_212
| ~ spl135_152 ),
inference(avatar_split_clause,[],[f3227,f1550,f1852]) ).
fof(f1852,plain,
( spl135_212
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_212])]) ).
fof(f1550,plain,
( spl135_152
<=> e0 = sF134 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_152])]) ).
fof(f3227,plain,
( e0 != op(e0,e3)
| ~ spl135_152 ),
inference(forward_demodulation,[],[f2267,f1552]) ).
fof(f1552,plain,
( e0 = sF134
| ~ spl135_152 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f2267,plain,
op(e0,e3) != sF134,
inference(forward_demodulation,[],[f306,f856]) ).
fof(f856,plain,
op(e0,e0) = sF134,
introduced(function_definition,[]) ).
fof(f306,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3276,plain,
( spl135_73
| ~ spl135_5 ),
inference(avatar_split_clause,[],[f3275,f880,f1186]) ).
fof(f1186,plain,
( spl135_73
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_73])]) ).
fof(f3275,plain,
( e1 = op(e0,e1)
| ~ spl135_5 ),
inference(forward_demodulation,[],[f381,f881]) ).
fof(f381,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f3255,plain,
( spl135_115
| ~ spl135_5 ),
inference(avatar_split_clause,[],[f3251,f880,f1377]) ).
fof(f3251,plain,
( e4 = op(e4,e0)
| ~ spl135_5 ),
inference(backward_demodulation,[],[f387,f881]) ).
fof(f387,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3179,plain,
( ~ spl135_32
| spl135_212 ),
inference(avatar_contradiction_clause,[],[f3178]) ).
fof(f3178,plain,
( $false
| ~ spl135_32
| spl135_212 ),
inference(subsumption_resolution,[],[f3164,f1854]) ).
fof(f1854,plain,
( e0 != op(e0,e3)
| spl135_212 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f3164,plain,
( e0 = op(e0,e3)
| ~ spl135_32 ),
inference(backward_demodulation,[],[f382,f1000]) ).
fof(f1000,plain,
( e3 = unit
| ~ spl135_32 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f998,plain,
( spl135_32
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl135_32])]) ).
fof(f382,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f3176,plain,
( ~ spl135_32
| spl135_167 ),
inference(avatar_contradiction_clause,[],[f3175]) ).
fof(f3175,plain,
( $false
| ~ spl135_32
| spl135_167 ),
inference(subsumption_resolution,[],[f3168,f1625]) ).
fof(f1625,plain,
( e0 != op(e3,e0)
| spl135_167 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1623,plain,
( spl135_167
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_167])]) ).
fof(f3168,plain,
( e0 = op(e3,e0)
| ~ spl135_32 ),
inference(backward_demodulation,[],[f388,f1000]) ).
fof(f388,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f3108,plain,
( ~ spl135_85
| ~ spl135_86 ),
inference(avatar_contradiction_clause,[],[f3107]) ).
fof(f3107,plain,
( $false
| ~ spl135_85
| ~ spl135_86 ),
inference(subsumption_resolution,[],[f3105,f371]) ).
fof(f371,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3105,plain,
( e2 = e4
| ~ spl135_85
| ~ spl135_86 ),
inference(backward_demodulation,[],[f1243,f1247]) ).
fof(f1243,plain,
( e4 = op(e4,e4)
| ~ spl135_85 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f1241,plain,
( spl135_85
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_85])]) ).
fof(f3079,plain,
( spl135_213
| ~ spl135_222 ),
inference(avatar_contradiction_clause,[],[f3078]) ).
fof(f3078,plain,
( $false
| spl135_213
| ~ spl135_222 ),
inference(subsumption_resolution,[],[f3077,f1859]) ).
fof(f1859,plain,
( e1 != e3
| spl135_213 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1858,plain,
( spl135_213
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_213])]) ).
fof(f3077,plain,
( e1 = e3
| ~ spl135_222 ),
inference(backward_demodulation,[],[f1973,f1918]) ).
fof(f1918,plain,
( e1 = sF131
| ~ spl135_222 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f1916,plain,
( spl135_222
<=> e1 = sF131 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_222])]) ).
fof(f1973,plain,
e3 = sF131,
inference(forward_demodulation,[],[f853,f1617]) ).
fof(f1617,plain,
e3 = op(e2,e2),
inference(backward_demodulation,[],[f392,f394]) ).
fof(f394,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e4 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1)))
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f392,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f853,plain,
op(e2,e2) = sF131,
introduced(function_definition,[]) ).
fof(f3072,plain,
( spl135_85
| ~ spl135_31 ),
inference(avatar_split_clause,[],[f3071,f994,f1241]) ).
fof(f994,plain,
( spl135_31
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl135_31])]) ).
fof(f3071,plain,
( e4 = op(e4,e4)
| ~ spl135_31 ),
inference(forward_demodulation,[],[f390,f996]) ).
fof(f996,plain,
( e4 = unit
| ~ spl135_31 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f390,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f2971,plain,
( spl135_4
| ~ spl135_153 ),
inference(avatar_contradiction_clause,[],[f2970]) ).
fof(f2970,plain,
( $false
| spl135_4
| ~ spl135_153 ),
inference(subsumption_resolution,[],[f2969,f878]) ).
fof(f878,plain,
( e0 != op(e4,e4)
| spl135_4 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f2969,plain,
( e0 = op(e4,e4)
| ~ spl135_153 ),
inference(forward_demodulation,[],[f852,f1556]) ).
fof(f1556,plain,
( e0 = sF130
| ~ spl135_153 ),
inference(avatar_component_clause,[],[f1554]) ).
fof(f1554,plain,
( spl135_153
<=> e0 = sF130 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_153])]) ).
fof(f852,plain,
op(e4,e4) = sF130,
introduced(function_definition,[]) ).
fof(f2966,plain,
( ~ spl135_221
| ~ spl135_280 ),
inference(avatar_contradiction_clause,[],[f2965]) ).
fof(f2965,plain,
( $false
| ~ spl135_221
| ~ spl135_280 ),
inference(subsumption_resolution,[],[f2963,f375]) ).
fof(f375,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2963,plain,
( e1 = e4
| ~ spl135_221
| ~ spl135_280 ),
inference(backward_demodulation,[],[f2400,f1914]) ).
fof(f1914,plain,
( e1 = sF133
| ~ spl135_221 ),
inference(avatar_component_clause,[],[f1912]) ).
fof(f1912,plain,
( spl135_221
<=> e1 = sF133 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_221])]) ).
fof(f2400,plain,
( e4 = sF133
| ~ spl135_280 ),
inference(avatar_component_clause,[],[f2398]) ).
fof(f2398,plain,
( spl135_280
<=> e4 = sF133 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_280])]) ).
fof(f2924,plain,
( ~ spl135_170
| ~ spl135_172 ),
inference(avatar_split_clause,[],[f2922,f1645,f1637]) ).
fof(f1637,plain,
( spl135_170
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_170])]) ).
fof(f2922,plain,
( e3 != op(e1,e3)
| ~ spl135_172 ),
inference(backward_demodulation,[],[f314,f1647]) ).
fof(f1647,plain,
( e3 = op(e0,e3)
| ~ spl135_172 ),
inference(avatar_component_clause,[],[f1645]) ).
fof(f314,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2895,plain,
( ~ spl135_30
| ~ spl135_134 ),
inference(avatar_contradiction_clause,[],[f2894]) ).
fof(f2894,plain,
( $false
| ~ spl135_30
| ~ spl135_134 ),
inference(subsumption_resolution,[],[f2893,f380]) ).
fof(f2893,plain,
( e0 = e2
| ~ spl135_30
| ~ spl135_134 ),
inference(forward_demodulation,[],[f2884,f1469]) ).
fof(f1469,plain,
( e0 = op(e1,e2)
| ~ spl135_134 ),
inference(avatar_component_clause,[],[f1468]) ).
fof(f1468,plain,
( spl135_134
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_134])]) ).
fof(f2884,plain,
( e2 = op(e1,e2)
| ~ spl135_30 ),
inference(backward_demodulation,[],[f385,f992]) ).
fof(f992,plain,
( e1 = unit
| ~ spl135_30 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f990,plain,
( spl135_30
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl135_30])]) ).
fof(f385,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2843,plain,
( ~ spl135_58
| ~ spl135_280 ),
inference(avatar_split_clause,[],[f2837,f2398,f1117]) ).
fof(f1117,plain,
( spl135_58
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_58])]) ).
fof(f2837,plain,
( e4 != op(e1,e3)
| ~ spl135_280 ),
inference(backward_demodulation,[],[f2378,f2400]) ).
fof(f2378,plain,
op(e1,e3) != sF133,
inference(backward_demodulation,[],[f296,f855]) ).
fof(f855,plain,
op(e1,e1) = sF133,
introduced(function_definition,[]) ).
fof(f296,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2842,plain,
( spl135_86
| ~ spl135_280 ),
inference(avatar_split_clause,[],[f2840,f2398,f1245]) ).
fof(f2840,plain,
( e2 = op(e4,e4)
| ~ spl135_280 ),
inference(backward_demodulation,[],[f2384,f2400]) ).
fof(f2384,plain,
e2 = op(sF133,sF133),
inference(backward_demodulation,[],[f394,f855]) ).
fof(f2841,plain,
( ~ spl135_137
| ~ spl135_280 ),
inference(avatar_split_clause,[],[f2838,f2398,f1482]) ).
fof(f1482,plain,
( spl135_137
<=> e4 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_137])]) ).
fof(f2838,plain,
( e4 != op(e4,e1)
| ~ spl135_280 ),
inference(backward_demodulation,[],[f2380,f2400]) ).
fof(f2380,plain,
op(e4,e1) != sF133,
inference(backward_demodulation,[],[f318,f855]) ).
fof(f318,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2777,plain,
( ~ spl135_151
| spl135_185 ),
inference(avatar_contradiction_clause,[],[f2776]) ).
fof(f2776,plain,
( $false
| ~ spl135_151
| spl135_185 ),
inference(subsumption_resolution,[],[f2775,f1714]) ).
fof(f1714,plain,
( e0 != e3
| spl135_185 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1713,plain,
( spl135_185
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_185])]) ).
fof(f2775,plain,
( e0 = e3
| ~ spl135_151 ),
inference(backward_demodulation,[],[f1973,f1548]) ).
fof(f1548,plain,
( e0 = sF131
| ~ spl135_151 ),
inference(avatar_component_clause,[],[f1546]) ).
fof(f1546,plain,
( spl135_151
<=> e0 = sF131 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_151])]) ).
fof(f2725,plain,
( spl135_280
| ~ spl135_187 ),
inference(avatar_split_clause,[],[f2724,f1722,f2398]) ).
fof(f1722,plain,
( spl135_187
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_187])]) ).
fof(f2724,plain,
( e4 = sF133
| ~ spl135_187 ),
inference(backward_demodulation,[],[f855,f1724]) ).
fof(f1724,plain,
( e4 = op(e1,e1)
| ~ spl135_187 ),
inference(avatar_component_clause,[],[f1722]) ).
fof(f2691,plain,
( ~ spl135_16
| ~ spl135_134 ),
inference(avatar_contradiction_clause,[],[f2690]) ).
fof(f2690,plain,
( $false
| ~ spl135_16
| ~ spl135_134 ),
inference(subsumption_resolution,[],[f2689,f373]) ).
fof(f373,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f2689,plain,
( e0 = e1
| ~ spl135_16
| ~ spl135_134 ),
inference(forward_demodulation,[],[f2683,f1469]) ).
fof(f2683,plain,
( e1 = op(e1,e2)
| ~ spl135_16 ),
inference(backward_demodulation,[],[f386,f930]) ).
fof(f930,plain,
( e2 = unit
| ~ spl135_16 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f929,plain,
( spl135_16
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl135_16])]) ).
fof(f2635,plain,
( ~ spl135_154
| ~ spl135_167 ),
inference(avatar_split_clause,[],[f2632,f1623,f1558]) ).
fof(f1558,plain,
( spl135_154
<=> e0 = sF132 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_154])]) ).
fof(f2632,plain,
( e0 != sF132
| ~ spl135_167 ),
inference(backward_demodulation,[],[f2470,f1624]) ).
fof(f1624,plain,
( e0 = op(e3,e0)
| ~ spl135_167 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f2470,plain,
op(e3,e0) != sF132,
inference(forward_demodulation,[],[f349,f854]) ).
fof(f854,plain,
op(e3,e3) = sF132,
introduced(function_definition,[]) ).
fof(f349,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2625,plain,
( ~ spl135_125
| ~ spl135_100 ),
inference(avatar_split_clause,[],[f2621,f1310,f1427]) ).
fof(f1310,plain,
( spl135_100
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_100])]) ).
fof(f2621,plain,
( e3 != op(e3,e0)
| ~ spl135_100 ),
inference(backward_demodulation,[],[f363,f1312]) ).
fof(f1312,plain,
( e3 = op(e3,e1)
| ~ spl135_100 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f363,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2591,plain,
( ~ spl135_80
| ~ spl135_96 ),
inference(avatar_split_clause,[],[f2587,f1290,f1217]) ).
fof(f1217,plain,
( spl135_80
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_80])]) ).
fof(f1290,plain,
( spl135_96
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_96])]) ).
fof(f2587,plain,
( e2 != op(e1,e3)
| ~ spl135_96 ),
inference(backward_demodulation,[],[f334,f1292]) ).
fof(f1292,plain,
( e2 = op(e2,e3)
| ~ spl135_96 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f334,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2578,plain,
( ~ spl135_224
| ~ spl135_73 ),
inference(avatar_split_clause,[],[f2573,f1186,f1924]) ).
fof(f1924,plain,
( spl135_224
<=> e1 = sF134 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_224])]) ).
fof(f2573,plain,
( e1 != sF134
| ~ spl135_73 ),
inference(backward_demodulation,[],[f2085,f1187]) ).
fof(f1187,plain,
( e1 = op(e0,e1)
| ~ spl135_73 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f2085,plain,
op(e0,e1) != sF134,
inference(backward_demodulation,[],[f353,f856]) ).
fof(f353,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2564,plain,
( ~ spl135_236
| ~ spl135_134 ),
inference(avatar_split_clause,[],[f2559,f1468,f1999]) ).
fof(f1999,plain,
( spl135_236
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl135_236])]) ).
fof(f2559,plain,
( e0 != op(e1,e3)
| ~ spl135_134 ),
inference(backward_demodulation,[],[f324,f1469]) ).
fof(f324,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2561,plain,
( ~ spl135_155
| ~ spl135_134 ),
inference(avatar_split_clause,[],[f2560,f1468,f1562]) ).
fof(f1562,plain,
( spl135_155
<=> e0 = sF133 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_155])]) ).
fof(f2560,plain,
( e0 != sF133
| ~ spl135_134 ),
inference(backward_demodulation,[],[f2449,f1469]) ).
fof(f2449,plain,
op(e1,e2) != sF133,
inference(forward_demodulation,[],[f352,f855]) ).
fof(f352,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2508,plain,
( ~ spl135_41
| spl135_184 ),
inference(avatar_split_clause,[],[f569,f1707,f1039]) ).
fof(f1039,plain,
( spl135_41
<=> sP126 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_41])]) ).
fof(f1707,plain,
( spl135_184
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_184])]) ).
fof(f569,plain,
( sP48
| ~ sP126 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( sP49
& sP48
& sP47
& sP46
& sP45
& sP44
& sP43
& sP42
& sP41
& sP40
& sP39
& sP38
& sP37
& sP36
& sP35
& sP34
& sP33
& sP32
& sP31
& sP30
& sP29
& sP28
& sP27
& sP26
& sP25 )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f2507,plain,
( spl135_268
| ~ spl135_15 ),
inference(avatar_split_clause,[],[f524,f924,f2223]) ).
fof(f2223,plain,
( spl135_268
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_268])]) ).
fof(f924,plain,
( spl135_15
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_15])]) ).
fof(f524,plain,
( ~ sP127
| sP53 ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
( ( sP74
& sP73
& sP72
& sP71
& sP70
& sP69
& sP68
& sP67
& sP66
& sP65
& sP64
& sP63
& sP62
& sP61
& sP60
& sP59
& sP58
& sP57
& sP56
& sP55
& sP54
& sP53
& sP52
& sP51
& sP50 )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f2456,plain,
( spl135_176
| ~ spl135_21 ),
inference(avatar_split_clause,[],[f518,f951,f1667]) ).
fof(f1667,plain,
( spl135_176
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_176])]) ).
fof(f951,plain,
( spl135_21
<=> sP128 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_21])]) ).
fof(f518,plain,
( ~ sP128
| sP97 ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
inference(nnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( sP99
& sP98
& sP97
& sP96
& sP95
& sP94
& sP93
& sP92
& sP91
& sP90
& sP89
& sP88
& sP87
& sP86
& sP85
& sP84
& sP83
& sP82
& sP81
& sP80
& sP79
& sP78
& sP77
& sP76
& sP75 )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f2431,plain,
( spl135_100
| ~ spl135_248
| ~ spl135_223 ),
inference(avatar_split_clause,[],[f2430,f1920,f2100,f1310]) ).
fof(f2100,plain,
( spl135_248
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_248])]) ).
fof(f1920,plain,
( spl135_223
<=> e1 = sF132 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_223])]) ).
fof(f2430,plain,
( e1 != sF132
| ~ sP1
| e3 = op(e3,e1) ),
inference(forward_demodulation,[],[f843,f854]) ).
fof(f843,plain,
( e1 != op(e3,e3)
| ~ sP1
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
( ( e3 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e3)
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( e3 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e3)
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2420,plain,
~ spl135_213,
inference(avatar_split_clause,[],[f376,f1858]) ).
fof(f376,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f2419,plain,
spl135_134,
inference(avatar_split_clause,[],[f2418,f1468]) ).
fof(f2418,plain,
e0 = op(e1,e2),
inference(forward_demodulation,[],[f2417,f2384]) ).
fof(f2417,plain,
e0 = op(e1,op(sF133,sF133)),
inference(forward_demodulation,[],[f393,f855]) ).
fof(f393,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f2414,plain,
( ~ spl135_2
| spl135_248 ),
inference(avatar_split_clause,[],[f572,f2100,f867]) ).
fof(f867,plain,
( spl135_2
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_2])]) ).
fof(f572,plain,
( sP1
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( sP24
& sP23
& sP22
& sP21
& sP20
& sP19
& sP18
& sP17
& sP16
& sP15
& sP14
& sP13
& sP12
& sP11
& sP10
& sP9
& sP8
& sP7
& sP6
& sP5
& sP4
& sP3
& sP2
& sP1
& sP0 )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f2412,plain,
( spl135_135
| ~ spl135_12 ),
inference(avatar_split_clause,[],[f482,f911,f1472]) ).
fof(f1472,plain,
( spl135_135
<=> sP111 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_135])]) ).
fof(f911,plain,
( spl135_12
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_12])]) ).
fof(f482,plain,
( ~ sP129
| sP111 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
( ( sP124
& sP123
& sP122
& sP121
& sP120
& sP119
& sP118
& sP117
& sP116
& sP115
& sP114
& sP113
& sP112
& sP111
& sP110
& sP109
& sP108
& sP107
& sP106
& sP105
& sP104
& sP103
& sP102
& sP101
& sP100 )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f2361,plain,
( ~ spl135_220
| spl135_137
| ~ spl135_266 ),
inference(avatar_split_clause,[],[f2360,f2208,f1482,f1908]) ).
fof(f1908,plain,
( spl135_220
<=> e1 = sF130 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_220])]) ).
fof(f2208,plain,
( spl135_266
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl135_266])]) ).
fof(f2360,plain,
( ~ sP22
| e4 = op(e4,e1)
| e1 != sF130 ),
inference(forward_demodulation,[],[f801,f852]) ).
fof(f801,plain,
( e1 != op(e4,e4)
| e4 = op(e4,e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ( e4 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e4)
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e4 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e4)
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f2309,plain,
spl135_187,
inference(avatar_split_clause,[],[f395,f1722]) ).
fof(f395,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f2266,plain,
( spl135_183
| spl135_236
| spl135_58
| spl135_80
| spl135_170 ),
inference(avatar_split_clause,[],[f450,f1637,f1217,f1117,f1999,f1702]) ).
fof(f450,plain,
( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e4 = op(e1,e3)
| e0 = op(e1,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e0) = e4
| e0 = op(e0,e0)
| op(e0,e0) = e2 )
& ( e3 = op(e3,e1)
| e1 = op(e3,e1)
| e4 = op(e3,e1)
| e2 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e1 = op(e4,e4)
| e0 = op(e4,e4)
| e2 = op(e4,e4)
| e3 = op(e4,e4)
| e4 = op(e4,e4) )
& ( e2 = op(e0,e3)
| e0 = op(e0,e3)
| e4 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3) )
& ( e4 = op(e4,e3)
| e2 = op(e4,e3)
| e3 = op(e4,e3)
| e0 = op(e4,e3)
| e1 = op(e4,e3) )
& ( e1 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e0 = op(e2,e4)
| e4 = op(e2,e4) )
& ( e2 = op(e0,e1)
| e3 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e2,e2)
| e0 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e2,e3)
| e0 = op(e2,e3)
| e4 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3) )
& ( e0 = op(e0,e4)
| e3 = op(e0,e4)
| e1 = op(e0,e4)
| e2 = op(e0,e4)
| e4 = op(e0,e4) )
& ( e0 = op(e4,e0)
| e4 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e3 = op(e4,e0) )
& ( e0 = op(e3,e4)
| e3 = op(e3,e4)
| e1 = op(e3,e4)
| e2 = op(e3,e4)
| e4 = op(e3,e4) )
& ( e2 = op(e1,e4)
| e4 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4)
| e3 = op(e1,e4) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e4 = op(e3,e2) )
& ( e2 = op(e2,e1)
| e1 = op(e2,e1)
| e4 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1) )
& ( e4 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e0 = op(e3,e3)
| e3 = op(e3,e3) )
& ( e4 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e0 = op(e4,e2)
| e1 = op(e4,e2)
| e4 = op(e4,e2)
| e2 = op(e4,e2)
| e3 = op(e4,e2) )
& ( e2 = op(e1,e0)
| e1 = op(e1,e0)
| e3 = op(e1,e0)
| e4 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e2 = op(e1,e3)
| e1 = op(e1,e3)
| e4 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e0 = op(e1,e2)
| e4 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2) )
& ( e3 = op(e2,e0)
| e0 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e4 = op(e2,e0) )
& ( e4 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1) )
& ( e1 = op(e4,e1)
| e0 = op(e4,e1)
| e2 = op(e4,e1)
| e4 = op(e4,e1)
| e3 = op(e4,e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2226,plain,
( ~ spl135_268
| spl135_96 ),
inference(avatar_split_clause,[],[f2221,f1290,f2223]) ).
fof(f2221,plain,
( e2 = op(e2,e3)
| ~ sP53 ),
inference(subsumption_resolution,[],[f739,f1617]) ).
fof(f739,plain,
( ~ sP53
| e3 != op(e2,e2)
| e2 = op(e2,e3) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( ( e2 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e2)
| ~ sP53 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e2 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e2)
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f2211,plain,
( ~ spl135_2
| spl135_266 ),
inference(avatar_split_clause,[],[f593,f2208,f867]) ).
fof(f593,plain,
( sP22
| ~ sP125 ),
inference(cnf_transformation,[],[f145]) ).
fof(f2063,plain,
~ spl135_185,
inference(avatar_split_clause,[],[f378,f1713]) ).
fof(f378,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1927,plain,
( spl135_220
| spl135_221
| spl135_222
| spl135_223
| spl135_224 ),
inference(avatar_split_clause,[],[f858,f1924,f1920,f1916,f1912,f1908]) ).
fof(f858,plain,
( e1 = sF134
| e1 = sF132
| e1 = sF131
| e1 = sF133
| e1 = sF130 ),
inference(definition_folding,[],[f849,f852,f856,f855,f853,f854]) ).
fof(f849,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ( e4 = op(e4,e4)
| e4 = op(e2,e2)
| e4 = op(e3,e3)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( sP129
| sP128
| sP127
| sP126
| sP125 )
& ( e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1
| e1 = op(e4,e4) )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e4,e4)
| e0 = op(e2,e2)
| e0 = op(e0,e0) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e3)
| e3 = op(e4,e4)
| op(e0,e0) = e3
| e3 = op(e2,e2) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e4,e4)
| e2 = op(e1,e1)
| op(e0,e0) = e2 ) ),
inference(definition_folding,[],[f9,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 = op(e0,e1)
& e1 != unit )
| op(e0,e0) != e1
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2)
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e1 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e1)
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( e1 != op(e2,e3)
| ( e3 = op(e2,e1)
& e1 != unit )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0)
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0)
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3)
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( e1 != op(e0,e4)
| ( e1 != unit
& e4 = op(e0,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e2 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e2)
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4)
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( e1 != op(e2,e4)
| ( e4 = op(e2,e1)
& e1 != unit )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1)
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( e1 != op(e2,e2)
| ( e2 = op(e2,e1)
& e1 != unit )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( e1 != op(e0,e3)
| ( e1 != unit
& e3 = op(e0,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e0)
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1)
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4)
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3)
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0)
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2)
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1)
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f33,plain,
( ( e1 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e1)
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2)
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3)
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( e4 != op(e2,e1)
| ( e1 = op(e2,e4)
& e4 != unit )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e1 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e1)
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f38,plain,
( e4 != op(e3,e0)
| ( e0 = op(e3,e4)
& e4 != unit )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f39,plain,
( e4 != op(e3,e3)
| ( e3 = op(e3,e4)
& e4 != unit )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f40,plain,
( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2)
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f41,plain,
( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f42,plain,
( e4 != op(e3,e4)
| ( e4 = op(e3,e4)
& e4 != unit )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f43,plain,
( e4 != op(e4,e4)
| ( e4 = op(e4,e4)
& e4 != unit )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f44,plain,
( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f45,plain,
( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3)
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f46,plain,
( e4 != op(e1,e0)
| ( e0 = op(e1,e4)
& e4 != unit )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f47,plain,
( e4 != op(e2,e4)
| ( e4 != unit
& e4 = op(e2,e4) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f48,plain,
( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2)
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f49,plain,
( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0)
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f50,plain,
( e4 != op(e1,e2)
| ( e4 != unit
& e2 = op(e1,e4) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f51,plain,
( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1)
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f52,plain,
( e4 != op(e2,e2)
| ( e2 = op(e2,e4)
& e4 != unit )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f53,plain,
( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f54,plain,
( e4 != op(e4,e1)
| ( e4 != unit
& e1 = op(e4,e4) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f55,plain,
( e4 != op(e0,e4)
| ( e4 != unit
& e4 = op(e0,e4) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f56,plain,
( e4 != op(e1,e4)
| ( e4 != unit
& e4 = op(e1,e4) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f57,plain,
( ( e3 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e3)
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f58,plain,
( e4 != op(e4,e0)
| ( e4 != unit
& e0 = op(e4,e4) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f59,plain,
( e4 != op(e0,e3)
| ( e3 = op(e0,e4)
& e4 != unit )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f60,plain,
( ( e3 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e3)
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f61,plain,
( e3 != op(e2,e3)
| ( e3 != unit
& e3 = op(e2,e3) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f62,plain,
( ( e1 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e1)
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f64,plain,
( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f65,plain,
( e3 != op(e0,e4)
| ( e3 != unit
& e4 = op(e0,e3) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f66,plain,
( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4)
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f67,plain,
( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3)
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f68,plain,
( ( e2 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e2)
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f69,plain,
( e3 != op(e1,e0)
| ( e3 != unit
& e0 = op(e1,e3) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f70,plain,
( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4)
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f71,plain,
( ( e0 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e0)
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f72,plain,
( e3 != op(e1,e2)
| ( e2 = op(e1,e3)
& e3 != unit )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f73,plain,
( ( e2 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e2)
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f74,plain,
( ( e2 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e2)
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f75,plain,
( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1)
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f76,plain,
( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f77,plain,
( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1)
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f78,plain,
( ( e1 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e1)
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f79,plain,
( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3)
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f80,plain,
( e3 != op(e2,e0)
| ( e3 != unit
& e0 = op(e2,e3) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f81,plain,
( e3 != op(e4,e0)
| ( e3 != unit
& e0 = op(e4,e3) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f82,plain,
( e3 != op(e4,e3)
| ( e3 != unit
& e3 = op(e4,e3) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f83,plain,
( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4)
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f84,plain,
( ( e4 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e4)
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f85,plain,
( e2 != op(e3,e3)
| ( e2 != unit
& e3 = op(e3,e2) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f86,plain,
( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f87,plain,
( e2 != op(e3,e0)
| ( e2 != unit
& e0 = op(e3,e2) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f88,plain,
( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0)
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f89,plain,
( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3)
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f90,plain,
( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3)
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f91,plain,
( e2 != op(e0,e1)
| ( e1 = op(e0,e2)
& e2 != unit )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f92,plain,
( ( e2 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e2)
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f93,plain,
( e2 != op(e2,e3)
| ( e3 = op(e2,e2)
& e2 != unit )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f94,plain,
( e2 != op(e2,e2)
| ( e2 != unit
& e2 = op(e2,e2) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f95,plain,
( e2 != op(e0,e4)
| ( e4 = op(e0,e2)
& e2 != unit )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f96,plain,
( e2 != op(e3,e4)
| ( e4 = op(e3,e2)
& e2 != unit )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f97,plain,
( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1)
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f98,plain,
( e2 != op(e4,e0)
| ( e0 = op(e4,e2)
& e2 != unit )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f99,plain,
( e2 != op(e2,e1)
| ( e1 = op(e2,e2)
& e2 != unit )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f100,plain,
( e2 != op(e4,e2)
| ( e2 != unit
& e2 = op(e4,e2) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f101,plain,
( ( e2 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e2)
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f102,plain,
( e2 != op(e1,e4)
| ( e4 = op(e1,e2)
& e2 != unit )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f103,plain,
( ( e0 = op(e0,e2)
& e2 != unit )
| op(e0,e0) != e2
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f104,plain,
( e2 != op(e3,e1)
| ( e1 = op(e3,e2)
& e2 != unit )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f105,plain,
( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0)
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f106,plain,
( ( e3 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e3)
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f107,plain,
( e2 != op(e4,e4)
| ( e4 = op(e4,e2)
& e2 != unit )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f108,plain,
( e2 != op(e2,e4)
| ( e4 = op(e2,e2)
& e2 != unit )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f109,plain,
( e2 != op(e3,e2)
| ( e2 != unit
& e2 = op(e3,e2) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f110,plain,
( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f111,plain,
( e0 != op(e1,e1)
| ( e0 != unit
& e1 = op(e1,e0) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f112,plain,
( e0 != op(e3,e0)
| ( e0 != unit
& e0 = op(e3,e0) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f113,plain,
( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1)
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f114,plain,
( e0 != op(e3,e4)
| ( e4 = op(e3,e0)
& e0 != unit )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f115,plain,
( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3)
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f116,plain,
( ( e3 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e3)
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f117,plain,
( e0 != op(e3,e1)
| ( e0 != unit
& e1 = op(e3,e0) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f118,plain,
( e0 != op(e2,e0)
| ( e0 != unit
& e0 = op(e2,e0) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f119,plain,
( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4)
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f120,plain,
( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0)
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f121,plain,
( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2)
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f122,plain,
( e0 != op(e3,e3)
| ( e3 = op(e3,e0)
& e0 != unit )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f123,plain,
( e0 != op(e2,e1)
| ( e0 != unit
& e1 = op(e2,e0) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f124,plain,
( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1)
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f125,plain,
( e0 != op(e0,e2)
| ( e0 != unit
& op(e0,e0) = e2 )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f126,plain,
( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2)
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f127,plain,
( e0 != op(e0,e3)
| ( e0 != unit
& op(e0,e0) = e3 )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f128,plain,
( ( e4 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e4)
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f129,plain,
( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4)
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f130,plain,
( e0 != op(e1,e0)
| ( e0 = op(e1,e0)
& e0 != unit )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f131,plain,
( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0)
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f132,plain,
( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3)
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f133,plain,
( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4)
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f134,plain,
( e0 != op(e4,e2)
| ( e2 = op(e4,e0)
& e0 != unit )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f9,plain,
( ( e4 = op(e4,e4)
| e4 = op(e2,e2)
| e4 = op(e3,e3)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( ( ( e0 != op(e4,e2)
| ( e2 = op(e4,e0)
& e0 != unit ) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( e0 != op(e1,e0)
| ( e0 = op(e1,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e4 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e4) )
& ( e0 != op(e0,e3)
| ( e0 != unit
& op(e0,e0) = e3 ) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( e0 != op(e0,e2)
| ( e0 != unit
& op(e0,e0) = e2 ) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( e0 != op(e2,e1)
| ( e0 != unit
& e1 = op(e2,e0) ) )
& ( e0 != op(e3,e3)
| ( e3 = op(e3,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( e0 != op(e2,e0)
| ( e0 != unit
& e0 = op(e2,e0) ) )
& ( e0 != op(e3,e1)
| ( e0 != unit
& e1 = op(e3,e0) ) )
& ( ( e3 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e3) )
& ( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3) )
& ( e0 != op(e3,e4)
| ( e4 = op(e3,e0)
& e0 != unit ) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( e0 != op(e3,e0)
| ( e0 != unit
& e0 = op(e3,e0) ) )
& ( e0 != op(e1,e1)
| ( e0 != unit
& e1 = op(e1,e0) ) )
& ( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit ) ) )
| ( ( e2 != op(e3,e2)
| ( e2 != unit
& e2 = op(e3,e2) ) )
& ( e2 != op(e2,e4)
| ( e4 = op(e2,e2)
& e2 != unit ) )
& ( e2 != op(e4,e4)
| ( e4 = op(e4,e2)
& e2 != unit ) )
& ( ( e3 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e3) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( e2 != op(e3,e1)
| ( e1 = op(e3,e2)
& e2 != unit ) )
& ( ( e0 = op(e0,e2)
& e2 != unit )
| op(e0,e0) != e2 )
& ( e2 != op(e1,e4)
| ( e4 = op(e1,e2)
& e2 != unit ) )
& ( ( e2 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e2) )
& ( e2 != op(e4,e2)
| ( e2 != unit
& e2 = op(e4,e2) ) )
& ( e2 != op(e2,e1)
| ( e1 = op(e2,e2)
& e2 != unit ) )
& ( e2 != op(e4,e0)
| ( e0 = op(e4,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( e2 != op(e3,e4)
| ( e4 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e0,e4)
| ( e4 = op(e0,e2)
& e2 != unit ) )
& ( e2 != op(e2,e2)
| ( e2 != unit
& e2 = op(e2,e2) ) )
& ( e2 != op(e2,e3)
| ( e3 = op(e2,e2)
& e2 != unit ) )
& ( ( e2 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e2) )
& ( e2 != op(e0,e1)
| ( e1 = op(e0,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( e2 != op(e3,e0)
| ( e2 != unit
& e0 = op(e3,e2) ) )
& ( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit ) )
& ( e2 != op(e3,e3)
| ( e2 != unit
& e3 = op(e3,e2) ) ) )
| ( ( ( e4 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( e3 != op(e4,e3)
| ( e3 != unit
& e3 = op(e4,e3) ) )
& ( e3 != op(e4,e0)
| ( e3 != unit
& e0 = op(e4,e3) ) )
& ( e3 != op(e2,e0)
| ( e3 != unit
& e0 = op(e2,e3) ) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e1 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 )
& ( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1) )
& ( ( e2 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e2) )
& ( ( e2 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e2) )
& ( e3 != op(e1,e2)
| ( e2 = op(e1,e3)
& e3 != unit ) )
& ( ( e0 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( e3 != op(e1,e0)
| ( e3 != unit
& e0 = op(e1,e3) ) )
& ( ( e2 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( e3 != op(e0,e4)
| ( e3 != unit
& e4 = op(e0,e3) ) )
& ( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit ) )
& ( ( e2 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e2) )
& ( ( e1 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e1) )
& ( e3 != op(e2,e3)
| ( e3 != unit
& e3 = op(e2,e3) ) )
& ( ( e3 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e3) ) )
| ( ( e4 != op(e0,e3)
| ( e3 = op(e0,e4)
& e4 != unit ) )
& ( e4 != op(e4,e0)
| ( e4 != unit
& e0 = op(e4,e4) ) )
& ( ( e3 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e3) )
& ( e4 != op(e1,e4)
| ( e4 != unit
& e4 = op(e1,e4) ) )
& ( e4 != op(e0,e4)
| ( e4 != unit
& e4 = op(e0,e4) ) )
& ( e4 != op(e4,e1)
| ( e4 != unit
& e1 = op(e4,e4) ) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 )
& ( e4 != op(e2,e2)
| ( e2 = op(e2,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( e4 != op(e1,e2)
| ( e4 != unit
& e2 = op(e1,e4) ) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( e4 != op(e2,e4)
| ( e4 != unit
& e4 = op(e2,e4) ) )
& ( e4 != op(e1,e0)
| ( e0 = op(e1,e4)
& e4 != unit ) )
& ( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3) )
& ( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e4,e4)
| ( e4 = op(e4,e4)
& e4 != unit ) )
& ( e4 != op(e3,e4)
| ( e4 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( e4 != op(e3,e3)
| ( e3 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e3,e0)
| ( e0 = op(e3,e4)
& e4 != unit ) )
& ( ( e1 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e1) )
& ( e4 != op(e2,e1)
| ( e1 = op(e2,e4)
& e4 != unit ) )
& ( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3) ) )
| ( ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e1) )
& ( ( e4 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e0 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e0) )
& ( e1 != op(e0,e3)
| ( e1 != unit
& e3 = op(e0,e1) ) )
& ( e1 != op(e2,e2)
| ( e2 = op(e2,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( e1 != op(e2,e4)
| ( e4 = op(e2,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e2 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e2) )
& ( e1 != op(e0,e4)
| ( e1 != unit
& e4 = op(e0,e1) ) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( e1 != op(e2,e3)
| ( e3 = op(e2,e1)
& e1 != unit ) )
& ( ( e1 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e1) )
& ( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2) )
& ( ( e3 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e3) )
& ( ( e0 = op(e0,e1)
& e1 != unit )
| op(e0,e0) != e1 ) ) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1
| e1 = op(e4,e4) )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e4,e4)
| e0 = op(e2,e2)
| e0 = op(e0,e0) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e3)
| e3 = op(e4,e4)
| op(e0,e0) = e3
| e3 = op(e2,e2) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e4,e4)
| e2 = op(e1,e1)
| op(e0,e0) = e2 ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( e4 = op(e4,e4)
| e4 = op(e2,e2)
| e4 = op(e3,e3)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( ( ( e0 != op(e4,e2)
| ( e2 = op(e4,e0)
& e0 != unit ) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( e0 != op(e1,e0)
| ( e0 = op(e1,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e4 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e4) )
& ( e0 != op(e0,e3)
| ( e0 != unit
& op(e0,e0) = e3 ) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( e0 != op(e0,e2)
| ( e0 != unit
& op(e0,e0) = e2 ) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( e0 != op(e2,e1)
| ( e0 != unit
& e1 = op(e2,e0) ) )
& ( e0 != op(e3,e3)
| ( e3 = op(e3,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( e0 != op(e2,e0)
| ( e0 != unit
& e0 = op(e2,e0) ) )
& ( e0 != op(e3,e1)
| ( e0 != unit
& e1 = op(e3,e0) ) )
& ( ( e3 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e3) )
& ( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3) )
& ( e0 != op(e3,e4)
| ( e4 = op(e3,e0)
& e0 != unit ) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( e0 != op(e3,e0)
| ( e0 != unit
& e0 = op(e3,e0) ) )
& ( e0 != op(e1,e1)
| ( e0 != unit
& e1 = op(e1,e0) ) )
& ( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit ) ) )
| ( ( e2 != op(e3,e2)
| ( e2 != unit
& e2 = op(e3,e2) ) )
& ( e2 != op(e2,e4)
| ( e4 = op(e2,e2)
& e2 != unit ) )
& ( e2 != op(e4,e4)
| ( e4 = op(e4,e2)
& e2 != unit ) )
& ( ( e3 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e3) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( e2 != op(e3,e1)
| ( e1 = op(e3,e2)
& e2 != unit ) )
& ( ( e0 = op(e0,e2)
& e2 != unit )
| op(e0,e0) != e2 )
& ( e2 != op(e1,e4)
| ( e4 = op(e1,e2)
& e2 != unit ) )
& ( ( e2 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e2) )
& ( e2 != op(e4,e2)
| ( e2 != unit
& e2 = op(e4,e2) ) )
& ( e2 != op(e2,e1)
| ( e1 = op(e2,e2)
& e2 != unit ) )
& ( e2 != op(e4,e0)
| ( e0 = op(e4,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( e2 != op(e3,e4)
| ( e4 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e0,e4)
| ( e4 = op(e0,e2)
& e2 != unit ) )
& ( e2 != op(e2,e2)
| ( e2 != unit
& e2 = op(e2,e2) ) )
& ( e2 != op(e2,e3)
| ( e3 = op(e2,e2)
& e2 != unit ) )
& ( ( e2 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e2) )
& ( e2 != op(e0,e1)
| ( e1 = op(e0,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( e2 != op(e3,e0)
| ( e2 != unit
& e0 = op(e3,e2) ) )
& ( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit ) )
& ( e2 != op(e3,e3)
| ( e2 != unit
& e3 = op(e3,e2) ) ) )
| ( ( ( e4 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( e3 != op(e4,e3)
| ( e3 != unit
& e3 = op(e4,e3) ) )
& ( e3 != op(e4,e0)
| ( e3 != unit
& e0 = op(e4,e3) ) )
& ( e3 != op(e2,e0)
| ( e3 != unit
& e0 = op(e2,e3) ) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e1 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 )
& ( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1) )
& ( ( e2 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e2) )
& ( ( e2 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e2) )
& ( e3 != op(e1,e2)
| ( e2 = op(e1,e3)
& e3 != unit ) )
& ( ( e0 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( e3 != op(e1,e0)
| ( e3 != unit
& e0 = op(e1,e3) ) )
& ( ( e2 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( e3 != op(e0,e4)
| ( e3 != unit
& e4 = op(e0,e3) ) )
& ( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit ) )
& ( ( e2 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e2) )
& ( ( e1 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e1) )
& ( e3 != op(e2,e3)
| ( e3 != unit
& e3 = op(e2,e3) ) )
& ( ( e3 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e3) ) )
| ( ( e4 != op(e0,e3)
| ( e3 = op(e0,e4)
& e4 != unit ) )
& ( e4 != op(e4,e0)
| ( e4 != unit
& e0 = op(e4,e4) ) )
& ( ( e3 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e3) )
& ( e4 != op(e1,e4)
| ( e4 != unit
& e4 = op(e1,e4) ) )
& ( e4 != op(e0,e4)
| ( e4 != unit
& e4 = op(e0,e4) ) )
& ( e4 != op(e4,e1)
| ( e4 != unit
& e1 = op(e4,e4) ) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 )
& ( e4 != op(e2,e2)
| ( e2 = op(e2,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( e4 != op(e1,e2)
| ( e4 != unit
& e2 = op(e1,e4) ) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( e4 != op(e2,e4)
| ( e4 != unit
& e4 = op(e2,e4) ) )
& ( e4 != op(e1,e0)
| ( e0 = op(e1,e4)
& e4 != unit ) )
& ( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3) )
& ( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e4,e4)
| ( e4 = op(e4,e4)
& e4 != unit ) )
& ( e4 != op(e3,e4)
| ( e4 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( e4 != op(e3,e3)
| ( e3 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e3,e0)
| ( e0 = op(e3,e4)
& e4 != unit ) )
& ( ( e1 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e1) )
& ( e4 != op(e2,e1)
| ( e1 = op(e2,e4)
& e4 != unit ) )
& ( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3) ) )
| ( ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e1) )
& ( ( e4 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e0 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e0) )
& ( e1 != op(e0,e3)
| ( e1 != unit
& e3 = op(e0,e1) ) )
& ( e1 != op(e2,e2)
| ( e2 = op(e2,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( e1 != op(e2,e4)
| ( e4 = op(e2,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e2 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e2) )
& ( e1 != op(e0,e4)
| ( e1 != unit
& e4 = op(e0,e1) ) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( e1 != op(e2,e3)
| ( e3 = op(e2,e1)
& e1 != unit ) )
& ( ( e1 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e1) )
& ( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2) )
& ( ( e3 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e3) )
& ( ( e0 = op(e0,e1)
& e1 != unit )
| op(e0,e0) != e1 ) ) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1
| e1 = op(e4,e4) )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e4,e4)
| e0 = op(e2,e2)
| e0 = op(e0,e0) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e3)
| e3 = op(e4,e4)
| op(e0,e0) = e3
| e3 = op(e2,e2) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e4,e4)
| e2 = op(e1,e1)
| op(e0,e0) = e2 ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( e4 = op(e4,e4)
| e4 = op(e2,e2)
| e4 = op(e3,e3)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( ( ( e0 != op(e4,e2)
| ( e2 = op(e4,e0)
& e0 != unit ) )
& ( ( e0 != unit
& op(e0,e0) = e4 )
| e0 != op(e0,e4) )
& ( ( e0 != unit
& e3 = op(e4,e0) )
| e0 != op(e4,e3) )
& ( ( e0 != unit
& e0 = op(e4,e0) )
| e0 != op(e4,e0) )
& ( e0 != op(e1,e0)
| ( e0 = op(e1,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e4 = op(e2,e0) )
| e0 != op(e2,e4) )
& ( ( e4 = op(e4,e0)
& e0 != unit )
| e0 != op(e4,e4) )
& ( e0 != op(e0,e3)
| ( e0 != unit
& op(e0,e0) = e3 ) )
& ( ( e0 != unit
& e2 = op(e3,e0) )
| e0 != op(e3,e2) )
& ( e0 != op(e0,e2)
| ( e0 != unit
& op(e0,e0) = e2 ) )
& ( ( e0 != unit
& e1 = op(e4,e0) )
| e0 != op(e4,e1) )
& ( e0 != op(e2,e1)
| ( e0 != unit
& e1 = op(e2,e0) ) )
& ( e0 != op(e3,e3)
| ( e3 = op(e3,e0)
& e0 != unit ) )
& ( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2) )
& ( ( e0 != unit
& e0 = op(e0,e0) )
| e0 != op(e0,e0) )
& ( ( e0 != unit
& e4 = op(e1,e0) )
| e0 != op(e1,e4) )
& ( e0 != op(e2,e0)
| ( e0 != unit
& e0 = op(e2,e0) ) )
& ( e0 != op(e3,e1)
| ( e0 != unit
& e1 = op(e3,e0) ) )
& ( ( e3 = op(e2,e0)
& e0 != unit )
| e0 != op(e2,e3) )
& ( ( e3 = op(e1,e0)
& e0 != unit )
| e0 != op(e1,e3) )
& ( e0 != op(e3,e4)
| ( e4 = op(e3,e0)
& e0 != unit ) )
& ( ( e0 != unit
& op(e0,e0) = e1 )
| e0 != op(e0,e1) )
& ( e0 != op(e3,e0)
| ( e0 != unit
& e0 = op(e3,e0) ) )
& ( e0 != op(e1,e1)
| ( e0 != unit
& e1 = op(e1,e0) ) )
& ( e0 != op(e2,e2)
| ( e2 = op(e2,e0)
& e0 != unit ) ) )
| ( ( e2 != op(e3,e2)
| ( e2 != unit
& e2 = op(e3,e2) ) )
& ( e2 != op(e2,e4)
| ( e4 = op(e2,e2)
& e2 != unit ) )
& ( e2 != op(e4,e4)
| ( e4 = op(e4,e2)
& e2 != unit ) )
& ( ( e3 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e3) )
& ( ( e0 = op(e2,e2)
& e2 != unit )
| e2 != op(e2,e0) )
& ( e2 != op(e3,e1)
| ( e1 = op(e3,e2)
& e2 != unit ) )
& ( ( e0 = op(e0,e2)
& e2 != unit )
| op(e0,e0) != e2 )
& ( e2 != op(e1,e4)
| ( e4 = op(e1,e2)
& e2 != unit ) )
& ( ( e2 = op(e1,e2)
& e2 != unit )
| e2 != op(e1,e2) )
& ( e2 != op(e4,e2)
| ( e2 != unit
& e2 = op(e4,e2) ) )
& ( e2 != op(e2,e1)
| ( e1 = op(e2,e2)
& e2 != unit ) )
& ( e2 != op(e4,e0)
| ( e0 = op(e4,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e1 = op(e4,e2) )
| e2 != op(e4,e1) )
& ( e2 != op(e3,e4)
| ( e4 = op(e3,e2)
& e2 != unit ) )
& ( e2 != op(e0,e4)
| ( e4 = op(e0,e2)
& e2 != unit ) )
& ( e2 != op(e2,e2)
| ( e2 != unit
& e2 = op(e2,e2) ) )
& ( e2 != op(e2,e3)
| ( e3 = op(e2,e2)
& e2 != unit ) )
& ( ( e2 = op(e0,e2)
& e2 != unit )
| e2 != op(e0,e2) )
& ( e2 != op(e0,e1)
| ( e1 = op(e0,e2)
& e2 != unit ) )
& ( ( e2 != unit
& e3 = op(e4,e2) )
| e2 != op(e4,e3) )
& ( ( e2 != unit
& e3 = op(e1,e2) )
| e2 != op(e1,e3) )
& ( ( e2 != unit
& e0 = op(e1,e2) )
| e2 != op(e1,e0) )
& ( e2 != op(e3,e0)
| ( e2 != unit
& e0 = op(e3,e2) ) )
& ( e2 != op(e1,e1)
| ( e1 = op(e1,e2)
& e2 != unit ) )
& ( e2 != op(e3,e3)
| ( e2 != unit
& e3 = op(e3,e2) ) ) )
| ( ( ( e4 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e4) )
& ( ( e3 != unit
& e4 = op(e1,e3) )
| e3 != op(e1,e4) )
& ( e3 != op(e4,e3)
| ( e3 != unit
& e3 = op(e4,e3) ) )
& ( e3 != op(e4,e0)
| ( e3 != unit
& e0 = op(e4,e3) ) )
& ( e3 != op(e2,e0)
| ( e3 != unit
& e0 = op(e2,e3) ) )
& ( ( e3 != unit
& e3 = op(e0,e3) )
| e3 != op(e0,e3) )
& ( ( e1 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e1) )
& ( ( e3 != unit
& e1 = op(e0,e3) )
| e3 != op(e0,e1) )
& ( ( e3 != unit
& e0 = op(e0,e3) )
| op(e0,e0) != e3 )
& ( ( e1 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e1) )
& ( ( e2 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e2) )
& ( ( e2 = op(e4,e3)
& e3 != unit )
| e3 != op(e4,e2) )
& ( e3 != op(e1,e2)
| ( e2 = op(e1,e3)
& e3 != unit ) )
& ( ( e0 = op(e3,e3)
& e3 != unit )
| e3 != op(e3,e0) )
& ( ( e3 != unit
& e4 = op(e2,e3) )
| e3 != op(e2,e4) )
& ( e3 != op(e1,e0)
| ( e3 != unit
& e0 = op(e1,e3) ) )
& ( ( e2 = op(e0,e3)
& e3 != unit )
| e3 != op(e0,e2) )
& ( ( e3 != unit
& e3 = op(e3,e3) )
| e3 != op(e3,e3) )
& ( ( e3 != unit
& e4 = op(e4,e3) )
| e3 != op(e4,e4) )
& ( e3 != op(e0,e4)
| ( e3 != unit
& e4 = op(e0,e3) ) )
& ( e3 != op(e3,e1)
| ( e1 = op(e3,e3)
& e3 != unit ) )
& ( ( e2 = op(e2,e3)
& e3 != unit )
| e3 != op(e2,e2) )
& ( ( e1 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e1) )
& ( e3 != op(e2,e3)
| ( e3 != unit
& e3 = op(e2,e3) ) )
& ( ( e3 = op(e1,e3)
& e3 != unit )
| e3 != op(e1,e3) ) )
| ( ( e4 != op(e0,e3)
| ( e3 = op(e0,e4)
& e4 != unit ) )
& ( e4 != op(e4,e0)
| ( e4 != unit
& e0 = op(e4,e4) ) )
& ( ( e3 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e3) )
& ( e4 != op(e1,e4)
| ( e4 != unit
& e4 = op(e1,e4) ) )
& ( e4 != op(e0,e4)
| ( e4 != unit
& e4 = op(e0,e4) ) )
& ( e4 != op(e4,e1)
| ( e4 != unit
& e1 = op(e4,e4) ) )
& ( ( e4 != unit
& e0 = op(e0,e4) )
| op(e0,e0) != e4 )
& ( e4 != op(e2,e2)
| ( e2 = op(e2,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e1 = op(e0,e4) )
| e4 != op(e0,e1) )
& ( e4 != op(e1,e2)
| ( e4 != unit
& e2 = op(e1,e4) ) )
& ( ( e4 != unit
& e0 = op(e2,e4) )
| e4 != op(e2,e0) )
& ( ( e4 != unit
& e2 = op(e0,e4) )
| e4 != op(e0,e2) )
& ( e4 != op(e2,e4)
| ( e4 != unit
& e4 = op(e2,e4) ) )
& ( e4 != op(e1,e0)
| ( e0 = op(e1,e4)
& e4 != unit ) )
& ( ( e3 = op(e2,e4)
& e4 != unit )
| e4 != op(e2,e3) )
& ( e4 != op(e3,e2)
| ( e2 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e4,e4)
| ( e4 = op(e4,e4)
& e4 != unit ) )
& ( e4 != op(e3,e4)
| ( e4 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e3,e1)
| ( e1 = op(e3,e4)
& e4 != unit ) )
& ( ( e4 != unit
& e2 = op(e4,e4) )
| e4 != op(e4,e2) )
& ( e4 != op(e3,e3)
| ( e3 = op(e3,e4)
& e4 != unit ) )
& ( e4 != op(e3,e0)
| ( e0 = op(e3,e4)
& e4 != unit ) )
& ( ( e1 = op(e1,e4)
& e4 != unit )
| e4 != op(e1,e1) )
& ( e4 != op(e2,e1)
| ( e1 = op(e2,e4)
& e4 != unit ) )
& ( ( e3 = op(e4,e4)
& e4 != unit )
| e4 != op(e4,e3) ) )
| ( ( ( e1 != unit
& e2 = op(e3,e1) )
| e1 != op(e3,e2) )
& ( ( e1 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e1) )
& ( ( e4 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e4) )
& ( ( e1 != unit
& e1 = op(e2,e1) )
| e1 != op(e2,e1) )
& ( ( e1 != unit
& e2 = op(e4,e1) )
| e1 != op(e4,e2) )
& ( ( e1 != unit
& e0 = op(e2,e1) )
| e1 != op(e2,e0) )
& ( ( e1 != unit
& e3 = op(e4,e1) )
| e1 != op(e4,e3) )
& ( ( e1 != unit
& e4 = op(e1,e1) )
| e1 != op(e1,e4) )
& ( ( e1 != unit
& e1 = op(e4,e1) )
| e1 != op(e4,e1) )
& ( ( e0 = op(e4,e1)
& e1 != unit )
| e1 != op(e4,e0) )
& ( e1 != op(e0,e3)
| ( e1 != unit
& e3 = op(e0,e1) ) )
& ( e1 != op(e2,e2)
| ( e2 = op(e2,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e1 = op(e1,e1) )
| e1 != op(e1,e1) )
& ( e1 != op(e2,e4)
| ( e4 = op(e2,e1)
& e1 != unit ) )
& ( ( e1 != unit
& e4 = op(e3,e1) )
| e1 != op(e3,e4) )
& ( ( e2 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e2) )
& ( e1 != op(e0,e4)
| ( e1 != unit
& e4 = op(e0,e1) ) )
& ( ( e1 != unit
& e3 = op(e1,e1) )
| e1 != op(e1,e3) )
& ( ( e1 != unit
& e0 = op(e1,e1) )
| e1 != op(e1,e0) )
& ( ( e1 != unit
& e0 = op(e3,e1) )
| e1 != op(e3,e0) )
& ( e1 != op(e2,e3)
| ( e3 = op(e2,e1)
& e1 != unit ) )
& ( ( e1 = op(e0,e1)
& e1 != unit )
| e1 != op(e0,e1) )
& ( ( e2 = op(e1,e1)
& e1 != unit )
| e1 != op(e1,e2) )
& ( ( e3 = op(e3,e1)
& e1 != unit )
| e1 != op(e3,e3) )
& ( ( e0 = op(e0,e1)
& e1 != unit )
| op(e0,e0) != e1 ) ) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1
| e1 = op(e4,e4) )
& ( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e4,e4)
| e0 = op(e2,e2)
| e0 = op(e0,e0) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e3)
| e3 = op(e4,e4)
| op(e0,e0) = e3
| e3 = op(e2,e2) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e4,e4)
| e2 = op(e1,e1)
| op(e0,e0) = e2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1710,plain,
( ~ spl135_184
| ~ spl135_115
| spl135_4 ),
inference(avatar_split_clause,[],[f748,f876,f1377,f1707]) ).
fof(f748,plain,
( e0 = op(e4,e4)
| e4 != op(e4,e0)
| ~ sP48 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( e4 != op(e4,e0)
| ( e4 != unit
& e0 = op(e4,e4) )
| ~ sP48 ),
inference(nnf_transformation,[],[f58]) ).
fof(f1674,plain,
( ~ spl135_176
| spl135_177
| ~ spl135_86 ),
inference(avatar_split_clause,[],[f651,f1245,f1671,f1667]) ).
fof(f651,plain,
( e2 != op(e4,e4)
| e4 = op(e4,e2)
| ~ sP97 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( e2 != op(e4,e4)
| ( e4 = op(e4,e2)
& e2 != unit )
| ~ sP97 ),
inference(nnf_transformation,[],[f107]) ).
fof(f1565,plain,
( spl135_151
| spl135_152
| spl135_153
| spl135_154
| spl135_155 ),
inference(avatar_split_clause,[],[f859,f1562,f1558,f1554,f1550,f1546]) ).
fof(f859,plain,
( e0 = sF133
| e0 = sF132
| e0 = sF130
| e0 = sF134
| e0 = sF131 ),
inference(definition_folding,[],[f848,f856,f853,f852,f854,f855]) ).
fof(f848,plain,
( e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e4,e4)
| e0 = op(e2,e2)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f1475,plain,
( ~ spl135_134
| ~ spl135_5
| ~ spl135_135 ),
inference(avatar_split_clause,[],[f623,f1472,f880,f1468]) ).
fof(f623,plain,
( ~ sP111
| e0 != unit
| e0 != op(e1,e2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
( ( e0 != unit
& e2 = op(e1,e0) )
| e0 != op(e1,e2)
| ~ sP111 ),
inference(nnf_transformation,[],[f121]) ).
fof(f1093,plain,
( spl135_12
| spl135_21
| spl135_15
| spl135_41
| spl135_2 ),
inference(avatar_split_clause,[],[f850,f867,f1039,f924,f951,f911]) ).
fof(f850,plain,
( sP125
| sP126
| sP127
| sP128
| sP129 ),
inference(cnf_transformation,[],[f140]) ).
fof(f1001,plain,
( spl135_5
| spl135_30
| spl135_16
| spl135_31
| spl135_32 ),
inference(avatar_split_clause,[],[f384,f998,f994,f929,f990,f880]) ).
fof(f384,plain,
( e3 = unit
| e4 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG062+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 14:49:01 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 % (24496)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (24497)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (24498)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (24498)Instruction limit reached!
% 0.21/0.53 % (24498)------------------------------
% 0.21/0.53 % (24498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (24515)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.53 % (24497)Instruction limit reached!
% 0.21/0.53 % (24497)------------------------------
% 0.21/0.53 % (24497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (24514)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (24498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (24498)Termination reason: Unknown
% 0.21/0.54 % (24498)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (24498)Memory used [KB]: 1023
% 0.21/0.54 % (24498)Time elapsed: 0.004 s
% 0.21/0.54 % (24498)Instructions burned: 2 (million)
% 0.21/0.54 % (24498)------------------------------
% 0.21/0.54 % (24498)------------------------------
% 0.21/0.54 % (24513)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54 % (24506)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (24490)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.54 % (24509)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (24497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (24497)Termination reason: Unknown
% 0.21/0.54 % (24497)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (24497)Memory used [KB]: 1279
% 0.21/0.54 % (24497)Time elapsed: 0.006 s
% 0.21/0.54 % (24497)Instructions burned: 8 (million)
% 0.21/0.54 % (24497)------------------------------
% 0.21/0.54 % (24497)------------------------------
% 0.21/0.54 % (24505)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.55 % (24492)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.55 % (24512)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.56 % (24504)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.56 % (24507)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.56 % (24500)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.57 % (24493)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.57 % (24501)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.57 % (24517)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.52/0.57 % (24495)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.52/0.57 % (24508)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.58 % (24499)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.52/0.59 % (24511)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.71/0.59 % (24510)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.71/0.60 % (24491)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.71/0.60 % (24496)Instruction limit reached!
% 1.71/0.60 % (24496)------------------------------
% 1.71/0.60 % (24496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (24496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (24496)Termination reason: Unknown
% 1.71/0.60 % (24496)Termination phase: Finite model building preprocessing
% 1.71/0.60
% 1.71/0.60 % (24496)Memory used [KB]: 2558
% 1.71/0.60 % (24496)Time elapsed: 0.030 s
% 1.71/0.60 % (24496)Instructions burned: 51 (million)
% 1.71/0.60 % (24496)------------------------------
% 1.71/0.60 % (24496)------------------------------
% 1.71/0.60 % (24502)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.71/0.60 % (24518)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.71/0.60 % (24519)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.71/0.61 % (24516)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.71/0.61 % (24494)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.61 % (24503)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.71/0.62 % (24492)Instruction limit reached!
% 1.71/0.62 % (24492)------------------------------
% 1.71/0.62 % (24492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62 % (24492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62 % (24492)Termination reason: Unknown
% 1.71/0.62 % (24492)Termination phase: Saturation
% 1.71/0.62
% 1.71/0.62 % (24492)Memory used [KB]: 1535
% 1.71/0.62 % (24492)Time elapsed: 0.199 s
% 1.71/0.62 % (24492)Instructions burned: 38 (million)
% 1.71/0.62 % (24492)------------------------------
% 1.71/0.62 % (24492)------------------------------
% 1.71/0.63 % (24514)First to succeed.
% 2.13/0.64 % (24507)Instruction limit reached!
% 2.13/0.64 % (24507)------------------------------
% 2.13/0.64 % (24507)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (24507)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (24507)Termination reason: Unknown
% 2.13/0.64 % (24507)Termination phase: Finite model building preprocessing
% 2.13/0.64
% 2.13/0.64 % (24507)Memory used [KB]: 7164
% 2.13/0.64 % (24507)Time elapsed: 0.034 s
% 2.13/0.64 % (24507)Instructions burned: 59 (million)
% 2.13/0.64 % (24507)------------------------------
% 2.13/0.64 % (24507)------------------------------
% 2.13/0.64 % (24500)Instruction limit reached!
% 2.13/0.64 % (24500)------------------------------
% 2.13/0.64 % (24500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (24500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (24500)Termination reason: Unknown
% 2.13/0.64 % (24500)Termination phase: Saturation
% 2.13/0.64
% 2.13/0.64 % (24500)Memory used [KB]: 7291
% 2.13/0.64 % (24500)Time elapsed: 0.029 s
% 2.13/0.64 % (24500)Instructions burned: 51 (million)
% 2.13/0.64 % (24500)------------------------------
% 2.13/0.64 % (24500)------------------------------
% 2.13/0.65 TRYING [5]
% 2.13/0.65 % (24514)Refutation found. Thanks to Tanya!
% 2.13/0.65 % SZS status Theorem for theBenchmark
% 2.13/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.65 % (24514)------------------------------
% 2.13/0.65 % (24514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.65 % (24514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.65 % (24514)Termination reason: Refutation
% 2.13/0.65
% 2.13/0.65 % (24514)Memory used [KB]: 7675
% 2.13/0.65 % (24514)Time elapsed: 0.105 s
% 2.13/0.65 % (24514)Instructions burned: 70 (million)
% 2.13/0.65 % (24514)------------------------------
% 2.13/0.65 % (24514)------------------------------
% 2.13/0.65 % (24489)Success in time 0.285 s
%------------------------------------------------------------------------------